Answer:
972 square feet
Step-by-step explanation:
Let x feet be the width of the rectangular room.
The length is 3 times the width, so the length is 3x feet.
The perimeter of the rectangular room is
[tex]P=2(\text{Width}+\text{Length})\\ \\144=2(x+3x)\\ \\144=2\cdot 4x\\ \\144=8x\\ \\x=18\ feet[/tex]
Thus,
Width = 18 feet
Length = 54 feet
Find the area of the room:
[tex]A=\text{Width}\cdot \text{Length}\\ \\A=18\cdot 54=972\ ft^2[/tex]
